广西师范大学学报（自然科学版）2024，Vol.42Issue(2)：120-130,11.DOI:10.16088/j.issn.1001-6600.2023041902
逐步Ⅱ型混合截尾下Lomax分布多部件应力强度模型的可靠性分析
Analysis of Reliability in a Multicomponent Stress-Strength Model for Lomax Distribution under Progressive type-Ⅱ Hybrid Censoring
摘要
Abstract
Based on progressive type-Ⅱ hybrid samples,the reliability analysis of Lomax distributed multicomponent stress-strength model is studied.Assuming that stress and strength have the same scale parameters and different shape parameters,the maximum likelihood estimation of the reliability function is obtained by using the maximum likelihood theory and the iterative method when the scale parameters are unknown and the asymptotic confidence interval is given.By using Bayesian theory,Tierney Kadane(TK)approximation method and MCMC algorithm,the Bayesian estimation of unknown parameters and reliability under the square error loss function is discussed,and the maximum a posteriori density confidence interval(HPD)is given.Finally,Monte-Carlo simulation method is used to compare and analyze the estimated results.The simulation results show that the Bayesian estimation is better than the maximum likelihood estimation on the whole,and the mean square error(MSE)of the two estimates decreases gradually with the increase of the sample,and the effect of(HPD)confidence interval is better than the asymptotic confidence interval.关键词
逐步Ⅱ型混合截尾/Lomax分布/多部件应力强度可靠性/极大似然估计/贝叶斯估计Key words
progressive type-Ⅱ hybrid censoring/Lomax distribution/multicomponent stress-strength reliability/maximum likelihood estimation/Bayesian estimation分类
数理科学引用本文复制引用
龙芳,蔡静,朱艳..逐步Ⅱ型混合截尾下Lomax分布多部件应力强度模型的可靠性分析[J].广西师范大学学报（自然科学版）,2024,42(2):120-130,11.基金项目
国家自然科学基金(11901134) （11901134）
